How do I use an area model to explain the product of 4.6 and 3?

we know that
The area mode l for multiplication is a pictorial way of representing
multiplication. In the area model, the length and width of a rectangle
represent factors, and the area of the rectangle represents their product
So
in this problem
the factors are
l e n g t h 4.6 w i d e 3
decompose the number 4.6
4.6 = ( 4 + 0.6 )
A re a o f rec t an g l e = A re a rec t an g l e 1 + A re a rec t an g l e 2 = ( 4 + 0.6 ) ∗ 3 = 4 ∗ 3 + 0.6 ∗ 3 = 12 + 1.8 = 13.8
see the attached figure to better understand the problem
therefore
the answer is
the product of 4.6 and 3 is equal to 13.8

Answered by calculista | 2024-06-11

To use an **area model **to explain the product of 4.6 and 3, draw a rectangle divided into two sections representing the numbers. Calculate the area of each section and sum them to find the product. ;

Answered by qwfish | 2024-06-18

Using an area model, we can visualize the product of 4.6 and 3 as the area of a rectangle. By breaking down 4.6 into 4 and 0.6, we calculate the areas of two smaller rectangles and then add these areas to find the total. Therefore, the product is 13.8.
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Answered by calculista | 2024-09-06